The figure below shows parallel lines cut by a transversal:

Mathematics

2 answers:

qaws [65]3 years ago

7 0

Answer:

∠1 and ∠2 are congruent because they are a pair of alternate interior angles.

Step-by-step explanation:

Given a pair of parallel lines which are cut by traversal line as shown in figure.

∠1 and ∠2 are shown in figure.

we have to find the relation between ∠1 and ∠2

∠1 and ∠2 angles are formed on opposite sides of the traversal and are on the inner side of the two parallel lines are alternate interior angles.

By the theorem

If two lines are parallel then the alternate interior angles are equal i.e

∠1 and ∠2 are congruent because they are a pair of alternate interior angles.

Option 3 is correct.

ad-work [718]3 years ago

4 0

Angles 1 and 2 are congruent because they are a pair of alternate interior angles.

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If (x)=3x-1 and s(x)=2x+1, which expression is equivalent to r over s (6) ?

katrin [286]

Answer:

$\large\boxed{\dfrac{3(6)-1}{2(6)+1}}$

Step-by-step explanation:

$\left(\dfrac{f}{g}\right)(x)=\dfrac{f(x)}{g(x)}\\\\\text{We have}\\\\f(x)=3x-1,\ g(x)=2x+1\\\\\left(\dfrac{f}{g}\right)(x)=\dfrac{3x-1}{2x+1}\\\\\left(\dfrac{f}{g}\right)(6)\to\text{put x = 6 to the equation of the function}\ \left(\dfrac{f}{g}\right)(x):\\\\\left(\dfrac{f}{g}\right)(6)=\dfrac{3(6)-1}{2(6)+1}$